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Finding the Fourth Proportional to 105,541.80, 158,082.30 and 81,983.40

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Solution

The fourth proportional to 105,541.80, 158,082.30 and 81,983.40 is: 122,796.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,541.80 : 158,082.30 = 81,983.40 : x
  2. Step 2: Convert to fraction form
    105,541.80/158,082.30 = 81,983.40/x
  3. Step 3: Cross multiply
    105,541.80x = 158,082.30 × 81,983.40
  4. Step 4: Simplify right side
    105,541.80x = 12,960,124,433.82
  5. Step 5: Solve for x
    x = 12,960,124,433.82/105,541.80
  6. Step 6: Final answer
    x = 122,796.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.